(3w^4)^2/(2w^4) A 9/16w^4 B 3/4w^4 C3/4w^2 D 9/16w^2
To simplify the expression (3w^4)^2/(2w^4), first calculate the square of 3w^4:
(3w^4)^2 = 9w^8
Then simplify the expression by dividing 9w^8 by 2w^4:
(9w^8) / (2w^4) = 9/2 * w^(8-4) = 9/2 * w^4 = 9/2w^4 = 4.5w^4
Therefore, the simplified expression is 9/2w^4.
So, the closest option to this calculated value is:
B) 3/4w^4.
Therefore, the answer is B) 3/4w^4.